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18 January, 01:28

One angle of a triangle has a measure of 66. The measure of the third angle is 57 more than half the measure of the second angle. The sum of the angle measures of a triangle is 180

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  1. 18 January, 01:36
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    1st angle → ∠ A = 66

    2nd angle →∠ B = x

    3rd angle → ∠ C = 57 + x/2

    A + B + C = 180°

    66°+x°+57°+x/2 = 180°

    Solve for x and you will find x = 38°

    So, the 1st Angle = 66°

    the 2nd = 38°

    the 3rd = 57+38/2 = 76°

    Proof: 66+38+76 = 180°
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